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Finding the Fourth Proportional to 516.70, 710.94 and 400.06

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Solution

The fourth proportional to 516.70, 710.94 and 400.06 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 710.94 = 400.06 : x
  2. Step 2: Convert to fraction form
    516.70/710.94 = 400.06/x
  3. Step 3: Cross multiply
    516.70x = 710.94 × 400.06
  4. Step 4: Simplify right side
    516.70x = 284,418.66
  5. Step 5: Solve for x
    x = 284,418.66/516.70
  6. Step 6: Final answer
    x = 550.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.